How to animate cuts between shots?
As per the comments, I eventually went with the approach of using multiple cameras.
Basically this consists of:

Have more than one camera object in the file.
Add &quot;markers&quot; to the dope sheet on a specific frame number.
Select the marker you want, select the camera you want, and find the hidden menu item to &quot;bind&quot; one to the other.

Now the render output does a hard-cut from one camera to the other when that specific frame is reached.
Unfortunately, binding a camera to a marker deletes the label on the marker, so it's now useless for... you know... marking anything. But hey, it generates the right output frames...